Question:

Let say you have a revolver with six chambers. There are two bullets in the gun. The bullets are
located in two chambers next to each other. You now want to play Russian roulette. You spin
the barrel so that you don’t know where the bullets are and then pull the trigger. We assume
that you don’t kill yourself with this first attempt. Now assuming that you want to maximize
the chance of not killing yourself is it...

And so with this provocative title, "pushing dsolve to its limits" I want to share some difficulties I've been having in doing just that. I'm looking at a dynamic system of 3 ODEs. The system has a continuum of stationary points along a line. For each point on the line, there exist a stable (center) manifold, also a line, such that the point may be approached from both directions. However, simulating the converging trajectory has proven difficult.

I have simulated as...

I am on maple 12 and this is not working.

My programming skills are very limitied but now that I see roughly how to do this (thanks to everyone on here) I can try and tweak it in roder to make it work.

As for the sequence...it isnt as nice as it looks, the pattern doesnt continue.

MapleNet 15 has just been released. MapleNet 15 brings the power of Maple 15 to your web sites and applications. New features include support for the new interactive data tables and single-click re-execution of documents.  MapleNet 15  also automatically detects when it is being accessed from a mobile device and adapts the display according to the device capabilities. 

You can learn more about MapleNet 15

Russian content for Maple T.A.
http://webmath.exponenta.ru/bsd/mapler_test.html

Tests are learning, not just inspectors.

Currently, the size of a table/matrix which can be exported to a spreadsheet is limited to 255 columns X 65535 rows. I believe this rule was implemented because of the maximum possible size of a spreadsheet(Am I right?) . This used to be the case in Excel 2003, but since Excel 2007, a spreasheet  can be : 1,048,576 rows by 16,384 columns.

Maybe it is time to update this rule?

Excel 2003 :http://office.microsoft.com/en-us/excel...

I saw a fun blog post today from someone who plotted the Batman symbol within Maple. Enjoy!

All 19 chapters updated Mapler in elementary mathematics will be posted on this site:
http://webmath.exponenta.ru/bsd/mapler_01.html
...
http://webmath.exponenta.ru/bsd/mapler_19.html
Russian teachers have met the workshop with enthusiasm. Even during the holidays.
For me, the enthusiasm - it's thousands of visitors.

Since the collection began

07_eng.mw

A collection from 20 problems for students.
12 variants for each problem.
Adequate solution.
Programs are built into the buttons.
Kit has been used successfully for 12 years.

HTML & full archive

Most programs will not produce and assign to a large number of global "top-level" names. But it is interesting that the cost associated with such global name assignment is related to the number of entries in libname.

A possible cause of this cost is the need to check whether the name is protected, before assigning.

The following timings were made on 32bit Maple 15 running on Windows 7, on an Intel i7. The set of four timings is...

A collection from 43 problems for students. 12 variants for each problem. Adequate solution. Programs are built into the buttons. Kit has been used successfully for 12 years.

01.mw  - index

01.zip - tasks

Full Collection of problems...

SHA-0.3.zip includes a Maple archive and help data base that implement the SHA algorithm (SHA-1, SHA-224, SHA-256, SHA-384, and SHA-512).  The implementation is interpreted Maple, so will be considerably slower than a compiled routine, but these should be fast enough for likely uses in Maple.  For example

CodeTools:-Usage(SHA("The quick brown fox jumps over the lazy dog", 512));
memory used=502.00KiB,...